Search a number
-
+
797167728 = 243273197263
BaseRepresentation
bin101111100000111…
…101000001110000
32001120000022112200
4233200331001300
53113033331403
6211034023200
725516546110
oct5740750160
92046008480
10797167728
11379a86a05
121a2b77b00
13c92009a6
1477c2d040
1549eb7ca3
hex2f83d070

797167728 has 240 divisors, whose sum is σ = 2669162496. Its totient is φ = 217313280.

The previous prime is 797167699. The next prime is 797167733. The reversal of 797167728 is 827761797.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3030925 + ... + 3031187.

Almost surely, 2797167728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797167728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334581248).

797167728 is an abundant number, since it is smaller than the sum of its proper divisors (1871994768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

797167728 is a wasteful number, since it uses less digits than its factorization.

797167728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The square root of 797167728 is about 28234.1588860019. The cubic root of 797167728 is about 927.2209511617.

The spelling of 797167728 in words is "seven hundred ninety-seven million, one hundred sixty-seven thousand, seven hundred twenty-eight".